Question

The rate ofeffusion of helium gas at a pressure of 1000 torr is 10 torr min!. What will be the rate of
effusion of hydrogen gas at pressure of 2000 torr at the same temperature?
(a) 20 torr min-¹
(b) 40 torr min-¹
(c) 2012 torr min-¹
(d) 10 torr min-¹​

Answer 1

Answer:

According to Graham's Law

$\frac{R_{1} }{R_{2} } =\sqrt{\frac{M_{2} }{M_{1} } }$

Here the gas 1 be H2 and gas 2 be He

He has rate=10torr/min at 1000 torr so it becomes 20torr/min at 2000torr

so $R_{1} =20\sqrt{\frac{4}{2} }$

so rate of effusion will be 20 torr/min

Answer 2

The rate of effusion of given hydrogen gas is $20 \sqrt{2}$.

Explanation:

The given data is as follows.

        $P_{1}$ = 1000 torr,    $P_{2}$ = 2000 torr,   $\gamma_{1}$ = 10 torr/min

Therefore, rate of effusion of hydrogen gas is calculated as follows.

         $10 \times \frac{2000}{1000} \times \sqrt{\frac{4}{2}}$

          = $10 \times 2 \times \sqrt{2}$

          = $20 \sqrt{2}$

Therefore, we can conclude that the rate of effusion of given hydrogen gas is $20 \sqrt{2}$.

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